PLS HELP, EXPLANATION IS GREATLY APPRECIATED!!!!!

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

Answer:

yes it can

.........................................

Answer:

Yes

Step-by-step explanation:

A linear function is a straight line and when we graph x=2 the line goes straight through x=2

Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

Learn more about Arc length here:

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Answer:

38.08 m²

Step-by-step explanation:

Given:

Formula:

[tex]\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}[/tex]

[tex]\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6[/tex]

[tex]\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}[/tex]

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

I hope this helps, you can ask any questions for clarification

To write something in slope-intercept form

   ⇒ need to know what slope-intercept looks like: [tex]y = mx +b[/tex]

Let us first find the slope:

     Formula of slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

    Slope = [tex]\frac{4-6}{8-5} =-\frac{2}{3}[/tex]

Lets now write in point-slope form:

     ⇒ [tex](y-y0)=m(x-x0)[/tex]

   [tex]y - 6 = -\frac{2}{3} (x-5)[/tex]

To write it into slope-intercept form, we must solve for y

   [tex]y = -\frac{2}{3}(x-5)+6 =-\frac{2}{3}x+\frac{10}{3} +6\\y = -\frac{2}{3} x+\frac{10}{3}+\frac{18}{3} \\y = -\frac{2}{3}x+\frac{28}{3}[/tex]<-- slope-intercept form

Hope that helps!

Answer:

Floating point(Decimal) is 0.1

Fraction is [tex]\frac{1}{10}[/tex]

10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.

[tex]\frac{1}{10}[/tex] is the same as 0.1

We get a 2-in-1 answer, which is perfect for this scenario!

Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1

Hey there!

60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24

Therefore, your answer is: 24

Good luck on assignment & your day day!

~Amphitrite1040:)

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

Answer:

-28

Step-by-step explanation:

6|-5| - 3(2/3) + 7(-8)=

30 -2 -56

30 -58 = -28

Answer:

A. 56 in3

Step-by-step explanation:

Formula for Volume; LWH

L * W * H = 4* 4 * 2

16 * 2 = 32(3)

(second half of the container)

LWH = 3 * 4 * 2

12 * 2 = 24(3)

32 + 24 = 56(3)

Break into two cuboids

In cuboid

Hence

#1

Volume:-

#2

Volume:-

Total:

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

Answer:

I'm pretty sure domain is x and range is why which would mean that:

domain: -5,6

range: 5,8,-5

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)

Ariana paid a 3.6% interest rate on the loan.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $2000

Simple interest = $144

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P and T in the above formula,

⇒ 144  = 2000 × R × 2

⇒ 144  = 4000 × R

⇒ R = 144/4000

Apply the division operation, and we get

⇒ R = 0.036

⇒ R = 3.6 %

Therefore, Ariana paid a 3.6% interest rate on the loan.

Learn more about the simple interest here:

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Answer:

Bill go the better deal

Step-by-step explanation:

43.35/15=2.89

61.82/32=2.81

express the following rational algebraic expression to its simple form.show your solution

1. 25 ׳y³/ 75 ×⁴y⁴

Answer

Step-by-step explanation:

You can only get 5 numbers which are : 1, 3, 5, 7, 9.

There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.

Answer:

1/5(1 over 5)

Step-by-step explanation:

out of the 5 numbers

u can land on 7 one time

Answer:

hypotenuse(?)

Step-by-step explanation:

Answer:

10.47 to the nearest hundredth

Step-by-step explanation:

By Pythagoras

c^2 = 2^2 + 4^2 = 20

c = √20

c = 4.47

Perimeter = 2 + 4 + 4.472

The perimeter of the right-angled triangle is 6 + 2√(5) feet.

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

Given that a right-angled triangle.

The perpendicular length is 2 feet, the base length is 4 feet.

We need to use the Pythagorean theorem to find the length of the hypotenuse, and then add up the lengths of all three sides to get the perimeter.

In this case, we can use it to find the length of the hypotenuse c:

2² + 4² = c²

4 + 16 = c²

20 = c²

c = √(20) = 2√(5)

Now we can add up the lengths of all three sides to get the perimeter:

Perimeter = a + b + c

Perimeter = 2 + 4 + 2√(5)

Perimeter = 6 + 2√(5) feet

Therefore, the perimeter = 6 + 2√(5) feet

To learn more about the Pythagoras theorem;

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Answer:

x = 4

y = 8

Steps are given, below in the picture

I hope my answer helps you.

Step-by-step explanation:

Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.

SOH CAH TOA

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.

John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.

Some of the most popular and important postulates of John Locke were:

Learn more about John Locke in: https://brainly.com/question/13346823

Answer:

20 units

Step-by-step explanation:

Count the squares

Answer:

20 units

Step-by-step explanation:

Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.